Optimal feedback controls of PDor PID-type can be approximated very efficiently by optimal open-loop feedback controls based on optimal open-loop controls. Extending the standard construction, stochastic optimal open-loop feedback controls are constructed by taking into account still the random parameter variations in the control system. Hence, corresponding to the standard deterministic case, ...

This paper treats a water flow regularization problem by means of local boundary conditions for the two-dimensional viscous shallow equations. Using an a-priori energy estimate perturbation state and Faedo–Galerkin method, we build stabilizing feedback control law volumetric in finite time that is prescribed solvability associated Cauchy problem. We iterate same approach to cascade infinite tim...

Abstract. We consider a model of the undamped shear beam with a destabilizing boundary condition. The motivation for this model comes from atomic force microscopy, where the tip of the cantilever beam is destabilized by van der Waals forces acting between the tip and the material surface. Previous research efforts relied on collocated actuation and sensing at the tip, exploiting the passivity p...

This article deals with the regulation of water 6ow in open-channels modelled by Saint-Venant equations. By means of a Riemann invariants approach, we deduce stabilizing control laws for a single horizontal reach without friction. The stability condition is extended to a general class of hyperbolic systems which can describe canal networks with more general topologies. A control law design base...

In this work the authors introduce a notion of zero dynamics for distributed parameter systems governed by linear parabolic equations on bounded domains with controls implemented through first order linear boundary conditions. This notion is motivated by classical root-locus constructs from finite dimensional linear systems theory. In particular, for scalar proportional output feedback this not...

We present a new design for random number generation. The outputs of linear feedback shift registers (LFSRs) act as continuous inputs to the two boundaries of a one-dimensional (1-D) Elementary Cellular Automata (ECA). The results show superior randomness features and the output string has passed the Diehard statistical battery of tests. The design is good candidate for parallel random number g...

In this paper we consider a boundary stabilization problem for the wave equation with interior delay. We prove an exponential stability result under some Lions geometric condition. The proof of the main result is based on an identity with multipliers that allows to obtain a uniform decay estimate for a suitable Lyapunov functional. Mathematics Subject Classification (2000): 35B05, 93D15, 93D20